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1310313300101 = 1331103914812113
BaseRepresentation
bin10011000100010100110…
…000100100000010000101
311122021010222122101021222
4103010110300210002011
5132432010201100401
62441541041250125
7163444533165611
oct23042460440205
94567128571258
101310313300101
11465778775203
12191b45333945
139673c98b390
14475c3184341
152413e56cc1b
hex13114c24085

1310313300101 has 32 divisors (see below), whose sum is σ = 1459703132160. Its totient is φ = 1168033996800.

The previous prime is 1310313300091. The next prime is 1310313300137. The reversal of 1310313300101 is 1010033130131.

It is a cyclic number.

It is not a de Polignac number, because 1310313300101 - 214 = 1310313283717 is a prime.

It is a super-2 number, since 2×13103133001012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1310313300101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310313300301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620118821 + ... + 620120933.

It is an arithmetic number, because the mean of its divisors is an integer number (45615722880).

Almost surely, 21310313300101 is an apocalyptic number.

It is an amenable number.

1310313300101 is a deficient number, since it is larger than the sum of its proper divisors (149389832059).

1310313300101 is a wasteful number, since it uses less digits than its factorization.

1310313300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1310313300101 its reverse (1010033130131), we get a palindrome (2320346430232).

The spelling of 1310313300101 in words is "one trillion, three hundred ten billion, three hundred thirteen million, three hundred thousand, one hundred one".

Divisors: 1 13 31 403 1039 1481 2113 13507 19253 27469 32209 45911 65503 418717 596843 851539 1538759 2195407 3129353 20003867 28540291 40681589 47701529 68057617 97009943 620119877 884749021 1261129259 3251397767 42268170971 100793330777 1310313300101